The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3 1 3 1 1 1 3 1 1 3 1 3 3 3 1 1 1 1 3 3 1 0 0 1 1 1 1 0 0 3 1 1 0 1 3 1 1 1 1 1 1 1 0 3 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 3 3 3 3 3 6 6 3 6 3 6 6 3 6 3 3 3 0 0 3 3 6 6 3 6 3 6 0 0 3 0 0 3 0 3 0 3 3 3 6 6 6 3 0 0 3 0 6 3 6 3 0 6 0 6 0 0 6 6 3 3 0 0 6 0 0 0 3 0 0 0 0 0 0 0 0 0 0 0 6 3 3 6 6 6 3 0 3 6 6 3 6 6 0 0 3 6 3 0 3 0 6 0 3 6 6 0 0 3 3 0 6 0 6 6 6 0 3 6 3 6 3 3 0 0 3 0 3 3 6 3 0 3 6 3 3 3 3 0 3 3 6 6 3 3 6 6 3 6 0 0 0 3 0 0 0 0 0 0 0 0 3 3 0 0 3 3 6 0 0 6 6 6 3 3 3 0 3 0 6 3 0 3 3 0 3 6 6 6 0 3 6 0 3 6 0 3 0 6 3 6 6 3 6 3 0 6 0 3 3 0 3 6 0 3 6 3 3 6 3 0 0 3 6 3 3 6 6 0 3 0 0 0 0 0 0 0 3 0 0 0 0 3 6 6 6 6 0 3 3 0 6 6 0 0 3 3 3 3 3 0 6 0 3 0 6 3 0 6 0 6 3 0 3 6 3 6 6 0 0 3 3 6 6 0 6 3 3 6 6 0 0 3 6 3 0 0 0 6 6 0 3 0 3 0 6 3 3 0 3 3 0 3 6 0 0 0 0 0 0 0 0 3 0 0 3 6 0 6 6 3 0 0 3 0 3 6 3 6 6 3 6 0 0 3 6 0 3 3 6 0 3 0 6 6 0 6 0 3 0 3 3 3 3 0 3 3 3 0 3 0 0 3 6 6 3 0 0 0 0 6 3 0 3 0 6 6 3 6 0 0 6 0 6 6 0 3 0 3 3 3 0 0 0 0 0 0 3 0 6 6 3 0 6 6 6 3 3 0 3 3 3 3 3 0 0 0 3 3 6 6 3 6 0 3 3 6 0 3 3 3 6 6 0 3 3 0 3 6 6 3 0 0 6 6 6 0 0 3 0 6 3 3 6 6 3 0 0 6 0 0 6 0 6 3 3 0 3 3 6 6 0 3 0 0 0 0 0 0 0 0 0 3 6 6 6 6 3 0 3 3 6 6 3 6 0 3 3 3 6 3 0 3 6 3 0 3 3 3 3 0 3 3 3 3 0 0 3 3 6 6 3 3 0 0 0 3 6 3 0 0 6 0 0 0 3 0 0 6 0 0 0 0 3 6 0 0 3 6 6 6 6 0 3 0 6 6 0 6 generates a code of length 84 over Z9 who´s minimum homogenous weight is 144. Homogenous weight enumerator: w(x)=1x^0+86x^144+238x^147+378x^150+36x^151+414x^153+168x^154+484x^156+510x^157+450x^159+1014x^160+556x^162+1626x^163+494x^165+2562x^166+502x^168+2832x^169+548x^171+2130x^172+458x^174+1446x^175+468x^177+654x^178+408x^180+126x^181+354x^183+18x^184+268x^186+182x^189+104x^192+84x^195+42x^198+28x^201+10x^204+4x^207 The gray image is a code over GF(3) with n=252, k=9 and d=144. This code was found by Heurico 1.16 in 16.6 seconds.